This present paper includes the study Load Frequency Control (LFC) of power systems with several nonlinearities
like Generation Rate Constraint(GRC) and Boiler Dynamics (BD) including Superconducting
Magnetic Energy Storage (SMES) units using Type-2 Fuzzy System (T2FS) controllers . Here, Load
frequency control problem is dealt with a three – area interconnected system of Thermal-Thermal-Hydal
power system by observing the effects and variations of dynamic responses employing conventional
controller, Type-1 fuzzy controller and T2FS controller considering incremental increase of step
pertubations by 10% in the load. The salient advantage of this controller is its high insensitivity to large
load changes and plant parameter variations even in the presence of non-linearities. As the non-linearities
were considered in the system, the conventional and classical Fuzzy controllers does not provide adequate
control performance with the consideration of above nonlinearities. To overcome this drawback T2FS
Controller has been employed in the system. Therefore, the efficacy of the proposed T2FS controller is
found to be better than that of conventional controller and Type-1 Fuzzy controller in cosidreration with
overshoot, settling time and robustness.
These slides explain about MPPT control and different approaches for wind generation system. Later I will show the comparative results with MATLAB simulation.
The increase in power demand has compelled the power system utilities to use series capacitive compensation in long transmission lines.
A problem called sub synchronous resonance (SSR) occurs in long lines because of series compensation. In this paper a flexible a.c. transmission
system (FACTS) device is used along with a proposed controller to damp out the sub synchronous oscillations from the system. An IEEE second
bench mark model is used for investigating the SSR problem, where a three phase short circuit fault is applied on the compensated transmission
line for analysis. A Matlab/Simulink model is used to study the time domain analysis of the system. An improvement in damping is seen with the
use of FACTS device i.e. unified power flow controller (UPFC) which is controlled by a Neural network (NN) based proportional integral (PI)
controller
These slides presents at introductory level to Micro-grid Stability and Control Modes. Later classes the mathematical representations and simulation ideas will be presented.
This slide presents the control aspects of Energy Storage System in Microgrid. Later I will discuss about the control strategy with integration to DGs and EVs.
ENHANCING RELIABILITY BY RECONFIGURATION OF POWER DISTRIBUTION SYSTEMS CONSID...Suganthi Thangaraj
The paper describes an effective method to reconfigure a power distribution system using optimization techniques. Here genetic algorithm is used for the reconfiguration to enhance reliability and to reduce losses. The reliability at the load points is evaluated using probabilistic reliability approach. For finding minimal cut sets and losses different algorithms are used. To maximise the reliability and to reduce the losses, the status of the switch is controlled using genetic algorithm. The effectiveness of the system is tested in 33 bus distribution system.
To eliminate the adverse effect from parameter variations as well as distorted grid conditions, a current control scheme of an LCL-filtered grid-connected inverter using a discrete integral sliding mode control (ISMC) and resonant compensation is presented. The proposed scheme is constructed based on the cascaded multiloop structure, in which three control loops are composed of grid-side current control, capacitor voltage control, and inverter-side current control. An active damping to suppress the resonance caused by LCL filter can be effectively realized by means of the inverter-side feedback control loop. Furthermore, the seamless transfer operation between the grid-connected mode and islanded mode is achieved by the capacitor voltage control loop. To retain a high tracking performance and robustness of the ISMC as well as an excellent harmonic compensation capability of the resonant control (RC) scheme at the same time, two control methods are combined in the proposed current controller. As a result, the proposed scheme yields a high quality of the injected grid currents and fast dynamic response even under distorted grid conditions. Furthermore, to reduce the number of sensors, a discrete-time reduced-order state observer is introduced. Simulation and experimental results are presented to demonstrate the effectiveness of the proposed scheme.
International Journal of Engineering Research and Development (IJERD)IJERD Editor
journal publishing, how to publish research paper, Call For research paper, international journal, publishing a paper, IJERD, journal of science and technology, how to get a research paper published, publishing a paper, publishing of journal, publishing of research paper, reserach and review articles, IJERD Journal, How to publish your research paper, publish research paper, open access engineering journal, Engineering journal, Mathemetics journal, Physics journal, Chemistry journal, Computer Engineering, Computer Science journal, how to submit your paper, peer reviw journal, indexed journal, reserach and review articles, engineering journal, www.ijerd.com, research journals,
yahoo journals, bing journals, International Journal of Engineering Research and Development, google journals, hard copy of journal
These slides explain about MPPT control and different approaches for wind generation system. Later I will show the comparative results with MATLAB simulation.
The increase in power demand has compelled the power system utilities to use series capacitive compensation in long transmission lines.
A problem called sub synchronous resonance (SSR) occurs in long lines because of series compensation. In this paper a flexible a.c. transmission
system (FACTS) device is used along with a proposed controller to damp out the sub synchronous oscillations from the system. An IEEE second
bench mark model is used for investigating the SSR problem, where a three phase short circuit fault is applied on the compensated transmission
line for analysis. A Matlab/Simulink model is used to study the time domain analysis of the system. An improvement in damping is seen with the
use of FACTS device i.e. unified power flow controller (UPFC) which is controlled by a Neural network (NN) based proportional integral (PI)
controller
These slides presents at introductory level to Micro-grid Stability and Control Modes. Later classes the mathematical representations and simulation ideas will be presented.
This slide presents the control aspects of Energy Storage System in Microgrid. Later I will discuss about the control strategy with integration to DGs and EVs.
ENHANCING RELIABILITY BY RECONFIGURATION OF POWER DISTRIBUTION SYSTEMS CONSID...Suganthi Thangaraj
The paper describes an effective method to reconfigure a power distribution system using optimization techniques. Here genetic algorithm is used for the reconfiguration to enhance reliability and to reduce losses. The reliability at the load points is evaluated using probabilistic reliability approach. For finding minimal cut sets and losses different algorithms are used. To maximise the reliability and to reduce the losses, the status of the switch is controlled using genetic algorithm. The effectiveness of the system is tested in 33 bus distribution system.
To eliminate the adverse effect from parameter variations as well as distorted grid conditions, a current control scheme of an LCL-filtered grid-connected inverter using a discrete integral sliding mode control (ISMC) and resonant compensation is presented. The proposed scheme is constructed based on the cascaded multiloop structure, in which three control loops are composed of grid-side current control, capacitor voltage control, and inverter-side current control. An active damping to suppress the resonance caused by LCL filter can be effectively realized by means of the inverter-side feedback control loop. Furthermore, the seamless transfer operation between the grid-connected mode and islanded mode is achieved by the capacitor voltage control loop. To retain a high tracking performance and robustness of the ISMC as well as an excellent harmonic compensation capability of the resonant control (RC) scheme at the same time, two control methods are combined in the proposed current controller. As a result, the proposed scheme yields a high quality of the injected grid currents and fast dynamic response even under distorted grid conditions. Furthermore, to reduce the number of sensors, a discrete-time reduced-order state observer is introduced. Simulation and experimental results are presented to demonstrate the effectiveness of the proposed scheme.
International Journal of Engineering Research and Development (IJERD)IJERD Editor
journal publishing, how to publish research paper, Call For research paper, international journal, publishing a paper, IJERD, journal of science and technology, how to get a research paper published, publishing a paper, publishing of journal, publishing of research paper, reserach and review articles, IJERD Journal, How to publish your research paper, publish research paper, open access engineering journal, Engineering journal, Mathemetics journal, Physics journal, Chemistry journal, Computer Engineering, Computer Science journal, how to submit your paper, peer reviw journal, indexed journal, reserach and review articles, engineering journal, www.ijerd.com, research journals,
yahoo journals, bing journals, International Journal of Engineering Research and Development, google journals, hard copy of journal
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
Average dynamical frequency behaviour for multi-area islanded micro-grid netw...TELKOMNIKA JOURNAL
A micro-grid is a part of power system which able to operates in grid or islanding mode. The most important variable that able to give us information about the stability in islanded micro-grid network is the frequency dynamical responses. The frequency analysis for multi-area micro-grid network model may involve a complicated of mathematical equations. This makes the researcher intending to omit several unnecessary parameters in order to simplify the equations. The purpose of this paper is to show an approach to derive the mathematical equations to represent the average behavior of frequency dynamical responses for two different micro-grid areas. Both of networks are assumed to have non-identical distributed generator behavior with different parameters. The prime mover and speed governor systems are augmented with the general swing equation. The tie line model and the information of rotor angle was considered. Then, in the last section, the comparison between this technique with the conventional approach using centre of inertia (COI) technique was defined.
Control strategies for seamless transfer between the grid-connected and isla...IJECEIAES
Design of control strategies for Distributed generation systems is very important to achieve smoother transition between the grid connected and islanding modes of operation. The transition between these two modes of operation should be seamless, without any severe transients during the changeover. In this paper, two different control strategies namely inverter output current control and indirect grid current control for the seamless transfer between the modes of operation has been explored for the suitability. The design and analysis of the cascaded control loops based on Proportional Integral (PI) controller has been dealt in detail for both inverter output current control and indirect grid current control strategy. Control parameters are designed using the control system toolbox in MATLAB. A 10kW grid connected microgrid system has been designed and simulated in MATLAB/Simulink and the results are presented under grid connected operation, islanding operation and the transition between the modes considering fault condition in the grid side. The simulation studies are carried out using both the control strategies and the results are presented to validate the design methodology.
Distributed Generation Allocation to Improve Steady State Voltage Stability o...IJAPEJOURNAL
In this paper, a new method is proposed to optimal distributed generation allocation for stability enhancement in radial distribution networks. Voltage stability is related with stable load and acceptable voltage in all buses of system. According to the time spectrum of the incident of the phenomena the instability is divided into steady state and transient voltage instability. The analysis is accomplished using a steady state voltage stability index which can be evaluated at each node of the distribution system. Different optimal locations and capacities are used to check this effect. The location of DG is more important in comparison with the capacities and has the main effect on the network voltage stability. Effects of capacity and location on increasing steady state voltage stability in radial distribution networks are evaluated through Imperialist Competitive Algorithm (ICA) and at the end the results are compared to particle swarm optimization and genetic algorithm on the terms of speed, accuracy and convergence.
Series of blackouts encountered in recent years in power system have been occurred because either of voltage or angle instability or both together was not detected within time and progressive voltage or angle instability further degraded the system condition, because of increase in loading. This paper presents the real-time assessment methodology of voltage stability using Phasor Measurement Unit (PMU) with observability of load buses only in power network. PMUs are placed at strategically obtained location such that minimum number of PMU’s can make all load buses observable. Data obtained by PMU’s are used for voltage stability assessment with the help of successive change in the angle of bus voltage with respect to incremental load, which is used as on-line voltage stability predictor (VSP). The real-time voltage phasors obtained by PMU’s are used as real time voltage stability indicator. The case study has been carried out on IEEE-14 bus system and IEEE-30 bus systems to demonstrate the results.
Application of AHP algorithm on power distribution of load shedding in island...IJECEIAES
This paper proposes a method of load shedding in a microgrid system operated in an Island Mode, which is disconnected with the main power grid and balanced loss of the electrical power. This proposed method calculates the minimum value of the shed power with reference to renewable energy sources such as wind power generator, solar energy and the ability to control the frequency of the generator to restore the frequency to the allowable range and reduce the amount of load that needs to be shed. Computing the load importance factor (LIF) using AHP algorithm supports to determine the order of which load to be shed. The damaged outcome of load shedding, thus, will be noticeably reduced. The experimental results of this proposed method is demonstrated by simulating on IEEE 16-Bus microgrid system with six power sources.
This work includes the establishment of a Photovoltaic system connected to the grid by means of an inverter. The fundamental goal of the work is to incorporate an advanced active power flow management scheme in order to adopt load at any weather condition along with the advantage of maximum active power flow and zero harmonics from PV inverter to the grid. The outcome of analysis and control design of grid connected PV inverter using a Proportional-Integral (PI) control technique is based on synchronous dq rotating reference frame so as to achieve maximum output voltage and record the active power. It has been observed that the model provides a better rate of stability as compared to the existing topology.
Power quality is a concern for utility and grid operators due to a large penetration of intermittent and stochastic renewable power generation sources. One of the major concerns, when designing and controlling grid-feeding photovoltaic (PV) inverters is meeting the grid requirements. International grid requirements demand low-voltage ride-through (LVRT) capability and maintaining grid functionality during fault conditions. This paper presents a comprehensive review for several control techniques to assure the LVRT capability of grid-feeding converters as well as discussing their respective advantages and limitations in detail. Areas for further research are identified afterwards. Finally, the conclusion gives a brief summary and critique of the findings.
Frequency regulation of deregulated power system having grc integrated with r...eSAT Journals
Abstract This paper addresses the automatic generation control of deregulated multi area power system including one of the most important renewable energy resource viz. wind power plant. The interconnected two area power system is thermal-hydro system with two GENCOs in thermal area and one GENCO in hydro area. Generation rate constraint (GRC) is considered in all the GENCOs separately. Integral square error technique is used to optimize the gains of various integral controllers. It is seen that system response becomes poorer in terms of peak overshoots and settling time by considering GRC. DISCO participation matrix is chosen on the basis of open market strategy which is continuously changing. So, effect of changing DPM on dynamic responses is studied, following a step load perturbation. It is revealed that there is no effect of changing DPM on system’s dynamic responses. Keywords – Automatic generation control (AGC), deregulated power system, DISCO participation matrix (DPM), wind turbines, generation rate constraint (GRC).
Neural Network-Based Stabilizer for the Improvement of Power System Dynamic P...TELKOMNIKA JOURNAL
This paper develops an adaptive control coordination scheme for power system stabilizers (PSSs)
to improve the oscillation damping and dynamic performance of interconnected multimachine power
system. The scheme was based on the use of a neural network which identifies online the optimal
controller parameters. The inputs to the neural network include the active- and reactive- power of the
synchronous generators which represent the power loading on the system, and elements of the reduced
nodal impedance matrix for representing the power system configuration. The outputs of the neural
network were the parameters of the PSSs which lead to optimal oscillation damping for the prevailing
system configuration and operating condition. For a representative power system, the neural network has
been trained and tested for a wide range of credible operating conditions and contingencies. Both
eigenvalue calculations and time-domain simulations were used in the testing and verification of the
performance of the neural network-based stabilizer.
Defining Control Strategies for Micro Grids Islanded Operation with Maximum P...IAES-IJPEDS
This paper explains about an intelligent control method for the maximum
power point tracking (MPPT) of a photo voltaic system with different
temperature and insolation conditions. This method uses a fuzzy logic
controller applied to a DC-DC converter. The different steps of the design of
this controller are presented together with its simulation and the feasibility of
control methods to be adopted for the operation of a micro grid when it
becomes isolated. Normally, the micro grid operates in interconnected mode
with the medium voltage network; however, scheduled or forced isolation
can take place. In such conditions, the micro grid must have the ability to
operate stably and autonomously. An evaluation of the need of storage
devices and load to take off strategies is included in this paper. The MPPT of
a photovoltaic system for Micro Grid operaion using a Fuzzy logic control
scheme is successfully designed and simulated by using MATLAB/Simulink
Software.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
Power System State Estimation - A ReviewIDES Editor
The aim of this article is to provide a comprehensive
survey on power system state estimation techniques. The
algorithms used for finding the system states under both static
and dynamic state estimations are discussed in brief. The
authors are opinion that the scope of pursuing research in the
area of state estimation with PMU and SCADA measurements
is the state of the art and timely.
Load frequency control in co ordination with frequency controllable hvdc link...eSAT Journals
Abstract
In this paper decentralized load frequency control (LFC) for suppression of oscillations in multi-area power systems using fuzzy logic
controller was studied. A three area system is considered in which areas 1 and 2 and areas 1 and 3 are connected by HVDC
transmission links and areas 2 and 3 are connected by normal AC tie-line. The performance of the fuzzy logic controller is compared
with the conventional PI controller and the simulation results shows that fuzzy logic controller is very effective enhancing better
damping performance in non-linear conditions.
Keywords: Load Frequency Control, High Voltage Direct Current transmission Link, Proportional Integral Controller,
Fuzzy Logic Control.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
Average dynamical frequency behaviour for multi-area islanded micro-grid netw...TELKOMNIKA JOURNAL
A micro-grid is a part of power system which able to operates in grid or islanding mode. The most important variable that able to give us information about the stability in islanded micro-grid network is the frequency dynamical responses. The frequency analysis for multi-area micro-grid network model may involve a complicated of mathematical equations. This makes the researcher intending to omit several unnecessary parameters in order to simplify the equations. The purpose of this paper is to show an approach to derive the mathematical equations to represent the average behavior of frequency dynamical responses for two different micro-grid areas. Both of networks are assumed to have non-identical distributed generator behavior with different parameters. The prime mover and speed governor systems are augmented with the general swing equation. The tie line model and the information of rotor angle was considered. Then, in the last section, the comparison between this technique with the conventional approach using centre of inertia (COI) technique was defined.
Control strategies for seamless transfer between the grid-connected and isla...IJECEIAES
Design of control strategies for Distributed generation systems is very important to achieve smoother transition between the grid connected and islanding modes of operation. The transition between these two modes of operation should be seamless, without any severe transients during the changeover. In this paper, two different control strategies namely inverter output current control and indirect grid current control for the seamless transfer between the modes of operation has been explored for the suitability. The design and analysis of the cascaded control loops based on Proportional Integral (PI) controller has been dealt in detail for both inverter output current control and indirect grid current control strategy. Control parameters are designed using the control system toolbox in MATLAB. A 10kW grid connected microgrid system has been designed and simulated in MATLAB/Simulink and the results are presented under grid connected operation, islanding operation and the transition between the modes considering fault condition in the grid side. The simulation studies are carried out using both the control strategies and the results are presented to validate the design methodology.
Distributed Generation Allocation to Improve Steady State Voltage Stability o...IJAPEJOURNAL
In this paper, a new method is proposed to optimal distributed generation allocation for stability enhancement in radial distribution networks. Voltage stability is related with stable load and acceptable voltage in all buses of system. According to the time spectrum of the incident of the phenomena the instability is divided into steady state and transient voltage instability. The analysis is accomplished using a steady state voltage stability index which can be evaluated at each node of the distribution system. Different optimal locations and capacities are used to check this effect. The location of DG is more important in comparison with the capacities and has the main effect on the network voltage stability. Effects of capacity and location on increasing steady state voltage stability in radial distribution networks are evaluated through Imperialist Competitive Algorithm (ICA) and at the end the results are compared to particle swarm optimization and genetic algorithm on the terms of speed, accuracy and convergence.
Series of blackouts encountered in recent years in power system have been occurred because either of voltage or angle instability or both together was not detected within time and progressive voltage or angle instability further degraded the system condition, because of increase in loading. This paper presents the real-time assessment methodology of voltage stability using Phasor Measurement Unit (PMU) with observability of load buses only in power network. PMUs are placed at strategically obtained location such that minimum number of PMU’s can make all load buses observable. Data obtained by PMU’s are used for voltage stability assessment with the help of successive change in the angle of bus voltage with respect to incremental load, which is used as on-line voltage stability predictor (VSP). The real-time voltage phasors obtained by PMU’s are used as real time voltage stability indicator. The case study has been carried out on IEEE-14 bus system and IEEE-30 bus systems to demonstrate the results.
Application of AHP algorithm on power distribution of load shedding in island...IJECEIAES
This paper proposes a method of load shedding in a microgrid system operated in an Island Mode, which is disconnected with the main power grid and balanced loss of the electrical power. This proposed method calculates the minimum value of the shed power with reference to renewable energy sources such as wind power generator, solar energy and the ability to control the frequency of the generator to restore the frequency to the allowable range and reduce the amount of load that needs to be shed. Computing the load importance factor (LIF) using AHP algorithm supports to determine the order of which load to be shed. The damaged outcome of load shedding, thus, will be noticeably reduced. The experimental results of this proposed method is demonstrated by simulating on IEEE 16-Bus microgrid system with six power sources.
This work includes the establishment of a Photovoltaic system connected to the grid by means of an inverter. The fundamental goal of the work is to incorporate an advanced active power flow management scheme in order to adopt load at any weather condition along with the advantage of maximum active power flow and zero harmonics from PV inverter to the grid. The outcome of analysis and control design of grid connected PV inverter using a Proportional-Integral (PI) control technique is based on synchronous dq rotating reference frame so as to achieve maximum output voltage and record the active power. It has been observed that the model provides a better rate of stability as compared to the existing topology.
Power quality is a concern for utility and grid operators due to a large penetration of intermittent and stochastic renewable power generation sources. One of the major concerns, when designing and controlling grid-feeding photovoltaic (PV) inverters is meeting the grid requirements. International grid requirements demand low-voltage ride-through (LVRT) capability and maintaining grid functionality during fault conditions. This paper presents a comprehensive review for several control techniques to assure the LVRT capability of grid-feeding converters as well as discussing their respective advantages and limitations in detail. Areas for further research are identified afterwards. Finally, the conclusion gives a brief summary and critique of the findings.
Frequency regulation of deregulated power system having grc integrated with r...eSAT Journals
Abstract This paper addresses the automatic generation control of deregulated multi area power system including one of the most important renewable energy resource viz. wind power plant. The interconnected two area power system is thermal-hydro system with two GENCOs in thermal area and one GENCO in hydro area. Generation rate constraint (GRC) is considered in all the GENCOs separately. Integral square error technique is used to optimize the gains of various integral controllers. It is seen that system response becomes poorer in terms of peak overshoots and settling time by considering GRC. DISCO participation matrix is chosen on the basis of open market strategy which is continuously changing. So, effect of changing DPM on dynamic responses is studied, following a step load perturbation. It is revealed that there is no effect of changing DPM on system’s dynamic responses. Keywords – Automatic generation control (AGC), deregulated power system, DISCO participation matrix (DPM), wind turbines, generation rate constraint (GRC).
Neural Network-Based Stabilizer for the Improvement of Power System Dynamic P...TELKOMNIKA JOURNAL
This paper develops an adaptive control coordination scheme for power system stabilizers (PSSs)
to improve the oscillation damping and dynamic performance of interconnected multimachine power
system. The scheme was based on the use of a neural network which identifies online the optimal
controller parameters. The inputs to the neural network include the active- and reactive- power of the
synchronous generators which represent the power loading on the system, and elements of the reduced
nodal impedance matrix for representing the power system configuration. The outputs of the neural
network were the parameters of the PSSs which lead to optimal oscillation damping for the prevailing
system configuration and operating condition. For a representative power system, the neural network has
been trained and tested for a wide range of credible operating conditions and contingencies. Both
eigenvalue calculations and time-domain simulations were used in the testing and verification of the
performance of the neural network-based stabilizer.
Defining Control Strategies for Micro Grids Islanded Operation with Maximum P...IAES-IJPEDS
This paper explains about an intelligent control method for the maximum
power point tracking (MPPT) of a photo voltaic system with different
temperature and insolation conditions. This method uses a fuzzy logic
controller applied to a DC-DC converter. The different steps of the design of
this controller are presented together with its simulation and the feasibility of
control methods to be adopted for the operation of a micro grid when it
becomes isolated. Normally, the micro grid operates in interconnected mode
with the medium voltage network; however, scheduled or forced isolation
can take place. In such conditions, the micro grid must have the ability to
operate stably and autonomously. An evaluation of the need of storage
devices and load to take off strategies is included in this paper. The MPPT of
a photovoltaic system for Micro Grid operaion using a Fuzzy logic control
scheme is successfully designed and simulated by using MATLAB/Simulink
Software.
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
Power System State Estimation - A ReviewIDES Editor
The aim of this article is to provide a comprehensive
survey on power system state estimation techniques. The
algorithms used for finding the system states under both static
and dynamic state estimations are discussed in brief. The
authors are opinion that the scope of pursuing research in the
area of state estimation with PMU and SCADA measurements
is the state of the art and timely.
Load frequency control in co ordination with frequency controllable hvdc link...eSAT Journals
Abstract
In this paper decentralized load frequency control (LFC) for suppression of oscillations in multi-area power systems using fuzzy logic
controller was studied. A three area system is considered in which areas 1 and 2 and areas 1 and 3 are connected by HVDC
transmission links and areas 2 and 3 are connected by normal AC tie-line. The performance of the fuzzy logic controller is compared
with the conventional PI controller and the simulation results shows that fuzzy logic controller is very effective enhancing better
damping performance in non-linear conditions.
Keywords: Load Frequency Control, High Voltage Direct Current transmission Link, Proportional Integral Controller,
Fuzzy Logic Control.
Load Frequency Control of Three Area Power System using Fuzzy Logic Controllerijtsrd
This paper proposes a method to determine the magnitude and location of load disturbances in multi area power systems via monitoring tie line power flows, implementing demand response regionally. In this work, proposes an intelligent coordination between secondary control and demand response through a supervisory fuzzy PI based coordinator. The simulations were performed in the environment of MATLAB SIMULINK. K. Sumanth Kumar | S. Thirumalaiah ""Load Frequency Control of Three Area Power System using Fuzzy Logic Controller"" Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-4 | Issue-2 , February 2020, URL: https://www.ijtsrd.com/papers/ijtsrd29823.pdf
Paper Url : https://www.ijtsrd.com/engineering/electrical-engineering/29823/load-frequency-control-of-three-area-power-system-using-fuzzy-logic-controller/k-sumanth-kumar
International Journal of Engineering Inventions (IJEI) provides a multidisciplinary passage for researchers, managers, professionals, practitioners and students around the globe to publish high quality, peer-reviewed articles on all theoretical and empirical aspects of Engineering and Science.
The peer-reviewed International Journal of Engineering Inventions (IJEI) is started with a mission to encourage contribution to research in Science and Technology. Encourage and motivate researchers in challenging areas of Sciences and Technology.
IJRET : International Journal of Research in Engineering and Technology is an international peer reviewed, online journal published by eSAT Publishing House for the enhancement of research in various disciplines of Engineering and Technology. The aim and scope of the journal is to provide an academic medium and an important reference for the advancement and dissemination of research results that support high-level learning, teaching and research in the fields of Engineering and Technology. We bring together Scientists, Academician, Field Engineers, Scholars and Students of related fields of Engineering and Technology.
IJRET : International Journal of Research in Engineering and Technology is an international peer reviewed, online journal published by eSAT Publishing House for the enhancement of research in various disciplines of Engineering and Technology. The aim and scope of the journal is to provide an academic medium and an important reference for the advancement and dissemination of research results that support high-level learning, teaching and research in the fields of Engineering and Technology. We bring together Scientists, Academician, Field Engineers, Scholars and Students of related fields of Engineering and Technology
International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.
Adıgüzel Hydroelectric Power Plant’s Modelling and LoadFrequency Control by F...IJERA Editor
In this study, to realize the load-frequency control according to different loading statuses, modelling of dynamic
behaviour of the Adıgüzel Hydroelectric Power Plant (HEPP) was made by using the Matlab/Simulink program.
By establishing the dynamic model of 36MVA synchronous generator and other components in the system in a
manner reflecting its behaviour in the real system, performance of classical controller and self-adjusting fuzzy
logic controller in electro-hydraulic governor circuit was examined according to different load statuses. During
the simulation works carried out when both control systems closely watched in the fuzzy logic control system
according to different loads the frequency of load and the number of frequency have been observed to be stable
in short period of time and allowed tolerance limits.
Optimal parameters of inverter-based microgrid to improve transient response IJECEIAES
The inertia issues in a microgrid can be improved by modifying the inverter control strategies to represent a virtual inertia simulation. This method employs the droop control strategy commonly used to share the power of a load among different power sources in the microgrid. This paper utilizes a modified droop control that represents this virtual inertia and applies an optimization algorithm to determine the optimal parameters and improve transient response. The results show better control when different variations are presented in the loads, leading the microgrid to have a better control of the operation. The optimization method applied in this research allows improvement to the transient response, thus avoiding unnecessary blackouts in the microgrid.
Improved dynamic performances of multi area reheat thermal agc power systems ...eSAT Publishing House
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Adaptive type 2 fuzzy controller for
1. International Journal of Fuzzy Logic Systems (IJFLS) Vol.4, No.1, January 2014
ADAPTIVE TYPE-2 FUZZY CONTROLLER FOR
LOAD FREQUENCY CONTROL OF AN
INTERCONNECTED HYDRO-THERMAL
SYSTEM INCLUDING SMES UNITS
Dr. R.Vijaya Santhi1 and Dr. K.R.Sudha2
1
Assistant Professor,Department of Electrical Engineering, Andhra University, India
2
Professor,Department of Electrical Engineering, Andhra University, India
ABSTRACT
This present paper includes the study Load Frequency Control (LFC) of power systems with several nonlinearities like Generation Rate Constraint(GRC) and Boiler Dynamics (BD) including Superconducting
Magnetic Energy Storage (SMES) units using Type-2 Fuzzy System (T2FS) controllers . Here, Load
frequency control problem is dealt with a three – area interconnected system of Thermal-Thermal-Hydal
power system by observing the effects and variations of dynamic responses employing conventional
controller, Type-1 fuzzy controller and T2FS controller considering incremental increase of step
pertubations by 10% in the load. The salient advantage of this controller is its high insensitivity to large
load changes and plant parameter variations even in the presence of non-linearities. As the non-linearities
were considered in the system, the conventional and classical Fuzzy controllers does not provide adequate
control performance with the consideration of above nonlinearities. To overcome this drawback T2FS
Controller has been employed in the system. Therefore, the efficacy of the proposed T2FS controller is
found to be better than that of conventional controller and Type-1 Fuzzy controller in cosidreration with
overshoot, settling time and robustness.
KEYWORDS
Load Frequency Control(LFC), Type-2(T2) Fuzzy Controller, Generation Rate Constraint (GRC), Boiler
Dynamics(BD), Superconducting magnetic energy storage (SMES).
1. INTRODUCTION
Inorder to maintain system frequency and inter-area oscillations within limits, Load Frequency
Control (LFC) plays a vital role in large scale electric power systems. Both area frequency and
tie-line power interchange varies with variation in power load demand. The motives of load
frequency control (LFC)[1][2] are to minimize the transient deviations in theses variables and to
ensure their steady state errors to be zeros. When dealing with the LFC [3] problem of power
systems, certain unexpected pertubations, parametric uncertainties and the model uncertainties of
the power system leads for the designing of controller. In large interconnected power system ,
DOI : 10.5121/ijfls.2014.4102
13
2. International Journal of Fuzzy Logic Systems (IJFLS) Vol.4, No.1, January 2014
generation of power is done by thermal, hydro, nuclear and gas power units.Usually, nuclear
units are kept at base load close to their maximum output owing to their high efficiency with no
participation in system Automatic Generation Control (AGC)[4]. Since these type of plants
produces a very small percentage of total system generation, so such plants donot play an
significant role in AGC of a large power system. In order to meet peak demands, Gas plants are
used. Thus the natural choice for LFC falls on either thermal or hydro units.
In past, the area of LFC constrained to interconnected thermal systems and relatively lesser
attention has been focussed to the LFC of interconnected hydro-thermal system [5] involving
thermal and hydro subsystem of widely different characteristics. Concordia and Kirchmayer [6]
have studied the AGC of a hydro-thermal system considering non-reheat type thermal system
neglecting generation rate constraints and boiler dynamics. Since frequency has become a
common factor, a change in active power demand at one point is reflected throughout the system,.
Mostly in the load frequency control studies, the boiler system effects and the governor dead band
effects are neglected. But for the realistic analysis of system performance, these should be
incorporated as they have considerable effects on the amplitude and settling time of oscillations.
From the past literature, under continuous-discrete mode with classical controllers, Nanda,
Kothari and Satsangi [7] are the first to present comprehensive analysis of LFC of an
interconnected hydrothermal system.
In the past decades, fuzzy logic controllers (FLCs) have been successfully developed for analysis
and control of nonlinear systems [8][9]. The fuzzy reasoning approach is motivated by its ability
to handle imperfect information,especially uncertainties in available knowledge. Stimulated by
the success of FLCs, Talaq [10], Yesil and Chang[11] proposed different adaptive fuzzy
scheduling schemes for conventional PI andor PID controllers. These methods provide good
performances but the system transient responses are relatively oscillatory.
The main motive of this paper is to determine the Load Frequency Control and inter-area tie
power control problem for a wide area power system with following certain uncertainities. From
the literature, many authors have proposed fuzzy logic based controllers to power systems [12]
inorder to take care of these uncertainties. This fuzzy logic, also called as Type-1 fuzzy, can
further be modified to Type-2 fuzzy by giving grading to the membership functions which are
themselves fuzzy. Or in other words, in Type-2 fuzzy sets, at each value of the variable the
membership is a function but not just a point value. Therefore, a Type-2 fuzzy set can be
visualized as a three dimensional. The advantage of the third dimension gives an extra degree of
freedom for handling uncertainties. Taking this feature into consideration, a robust decentralized
control scheme is designed using Type-2 Fuzzy logic [13][14][15]. The proposed controller is
simulated for a three area power system in the presence of Generation Rate Constraint (GRC) and
Boiler Dynamics (BD)[16] including Superconducting Magnetic Energy Storage(SMES) units
was compared with conventional PI controller and Type-1 Fuzzycontroller. Results of simulation
show that the T2 fuzzy controllers guarantee the robust performance .
2. POWER SYSTEM MODELLING AND PROBLEM FORMULATION:
Usually, tie line power are used to interconnect control areas for a large scale power system.
However, for the design of LFC a simplified and linearized model is usually used. The detailed
power system modeling of three area system containing two reheat steam turbines and one hydro
-turbine tied together through power lines including Superconducting Magnetic Energy Storage
14
3. International Journal of Fuzzy Logic Systems (IJFLS) Vol.4, No.1, January 2014
(SMES) units with Generation Rate Constraint (GRC) and Boiler Dynamics (BD) for load
frequency control is investigated in this study as shown in Fig.1 with Area Control Error(ACE)
and its derivative are given as the inputs to the controllers [17]. Three areas have been installed
with SMES1, SMES2 and SMES3 inorder to stabilize frequency oscillations. The interconnected
power system model is shown in Fig-3. The Parameters of the three areas is given in Appendix.
Modelling of Speed Governors and turbines are discussed in [18]. Power generation can be
changed only to a specified maximum rate in a power system having steam plants. the generation
rate for the steam plants can be restricted, by adding limiters to the governors. The Generation
Rate Constraint (GRC) value for thermal units of 3%/min is considered. To prevent the excessive
control action, two limiters, bounded by ± 0.0005 within the automatic generation controller are
used. By adding limiters to the turbines GRCs for all the areas are taken into consideration. Fig-2
shows the model to represent the boiler dynamics. Representations for combustion controls are
also incorporated. This model is used inorder to study the responses of coal fired units with
poorly tuned combustions controls and with well tuned controls.The limiter of -0.01 ≤ ∆PSMi,
i=1, 2 ≤ 0.01 [puMW] based on a system MW base is equipped for each SMES unit. “Parameters
values of SMES1, SMES2 and SMES3 are set at Ksm1 = Ksm2 = Ksm3= 0.12 and Tsm1 = Tsm 2
=Tsm3= 0.03 sec[19]”.
3.TYPE 2 (T2) FUZZY LOGIC CONTROLLERS:
Zadeh [20] introduced type-2 fuzzy sets. The fuzzification of a type-1 fuzzy set gives the
Type-2 sets. To describe the membership function by numbers, type-1 fuzzy sets requires
the developer, in the discrete case, or by a function, where continuous membership function is
given by the fuzzy . So, `non-fuzzy' (or crisp) representation is given by the fuzziness of a
system which employs fuzzy sets . A fuzzy system that uses Type-2 fuzzy sets and/or fuzzy logic
and inference is called a Type-2 (T2) fuzzy system. Infact, a Type-1 (T1) fuzzy system can be
defined as the system that employs ordinary fuzzy sets, logic, and inference. In order to solve
many practical problems, T1 fuzzy systems, especially fuzzy logic controllers and fuzzy models
are modelled. As per Mendel,“A Type-1 fuzzy set (T1 FS) has a grade of membership that is
crisp, whereas a Type - 2 fuzzy set (T2 FS) has a grade of membership that is fuzzy, so T2 FS are
‘fuzzy-fuzzy’ sets”. To represent the fuzzy membership of fuzzy sets footprint of uncertainty
(FOU) is employed, which is a 2-D representation, with the uncertainty about the right end point
of the right side of the membership function and with the uncertainty about the left end point of
the left side of the membership function. The type-1 fuzzy sets, which represents uncertainty by
numbers in the range [0, 1] can be handled by the general framework of fuzzy reasoning .
Uncertainity cannot be determined with its exact value, because of its complexity and rather
type-1 fuzzy sets gives much senser than using crisp sets [21]. So, it is difficult to measure an
uncertain membership function . To overcome this difficulty, we require another type of fuzzy
sets, those which has ability to handle these uncertainties. Those type of fuzzy sets are called
type-2 fuzzy sets. As the type-2 fuzzy logic has better capability to cope up with linguistic
uncertainities , type-2 is a good replacement for type-1 fuzzy system..
Infact, the Type 1- fuzzy and Type-2 fuzzy sets operation are similar, but while using with
interval fuzzy system; by limiting the FOU, fuzzy operator is being done as two T1 membership
functions, UMF and LMF inorder to produce firing strength which is shown in Fig - 4.
Defuzzification is a mapping process from fuzzy logic control action to a non-fuzzy (crisp)
control action. Defuzzification on an interval Type2 fuzzy logic system using centroid method is
15
4. International Journal of Fuzzy Logic Systems (IJFLS) Vol.4, No.1, January 2014
shown in Fig -4. In Type-2 fuzzy set, at each value of primary variable the membership is a
function and it is not just a point value; the secondary membership function whose domain, i.e.,
the primary membership is in the interval [0,1], then their range, the secondary grades may also
be in the interval [0,1]. Since, the foot of membership functions is not a single point but designed
over an interval, therefore Type -2 fuzzy logic controller can also be refered as Interval Type-2
fuzzy logic controller. Interval type2 fuzzy logic operation is shown in Fig. 4.The Interval Type-2
membership functions and operators are designed and are employed in the IT2FLS toolbox. An
Inference FS is a rule base system that uses fuzzy logic, instead of Boolean logic that is utilized in
data analysis. Its basic structure includes four components (Fig - 5):
Fuzzification: Translates inputs (real values) to fuzzy values.
Inference System: To obtain a fuzzy output, fuzzy reasoning mechanism is applied.
Type Defuzzificator/Reductor: To transduces one output to precise values, defuzzificator is
employed; the type reductor converts a Type 2 Fuzzy Set into a Type- 1 Fuzzy Set.
Knowledge Base:It contains data base which consists of set of fuzzy rules, and a membership
functions set. The two normalized input variables, ∆ ACE and ∆ ACE , are first fuzzified by two
interval T2 fuzzy sets (Fig -6), namely “positive” and “negative” represented by P (∆ ACE ) and
N (∆ ACE ) respectively. The primary memberships are generated by blurring the trapezoidal
T1 fuzzy sets 1 P (∆ ACE ) , N (∆ ACE ) , P ( ∆ ACE ) , and N ( ∆ ACE ) . The interval T2
fuzzy sets secondary membership functions are all constant.
The definitions of the T1 fuzzy sets are as follows:
(−∞,− L1 ]
0
p (∆ACE ) = ( L1 + ∆( ACE )) / 2 L1 [− L1 , L1 ]
1
[ L1 , ∞)
-----(1)
After shifting the membership functions of the T1 fuzzy sets upward and downward by θ1 ∈ [0,
0.5] for P (∆ ACE ) and N (∆ ACE ) along the membership axes, the boundary membership
functions of the primary memberships of the interval T2 fuzzy sets[22][13] (i.e.), P L ( ∆ ACE ) ,
PU (∆ ACE ) , NL (∆ ACE ) , NU (∆ ACE ) ). These boundary membership functions form
the shaded bands in Fig -6 which are called footprints of uncertainty (FOU). The design
parameters θ1and θ 2are used to control the degree of uncertainty of the interval T2 fuzzy sets.
Inorder to realize the AND operations in the rules, Zadeh fuzzy logic AND operator (i.e., min( ))
is used.
If ∆ACE is P and ∆ACE is P, then U is N
For an interval T2 fuzzy interface, the firing set becomes a firing interval
[RL,RU]=[min( ∆ACE PL, ∆ACE PL,U NL), min( ∆ACE PU, ∆ACE PU,UNU)]
The rules are shown in Table-1.
16
5. International Journal of Fuzzy Logic Systems (IJFLS) Vol.4, No.1, January 2014
4. SIMULATION RESULTS
To illustrate robust performance of the proposed Type-2 Fuzzy controller we have chosen
different cases:
Case I(a),Case I(b) & CaseI(c): Step increase in demand of the first area ∆ PD1: In this case,
step increase in demand of the first area ∆ PD1 is applied. The frequency deviation of the first
area, Δf1, the frequency deviation of the second area, Δf 2, the frequency deviation of the third
area, Δf3, and inter area tie-power signals of the closed-loop system are shown in Fig -7,Fig -8.
Step increase in demand of the second area ∆ PD2 is applied. The frequency deviation of the first
area, Δf1, the frequency deviation of the second area, Δf 2, the frequency deviation of the third
area, Δf3, and inter area tie-power signals of the closed-loop system are shown in Fig -9, Fig -10.
Step increase in demand of the third area ∆ PD3 is applied. The frequency deviation of the first
area, Δf1, the frequency deviation of the second area, Δf 2, the frequency deviation of the third
area, Δf3, and inter area tie-power signals of the closed-loop system are shown in Fig -11, Fig 12.Using proposed method, the frequency deviations and inter area tie-power quickly driven back
to zero and controller using T2 fuzzy controller has the best performance in control and damping
of frequency and tie-power in all responses when compared with conventional PI and Type-1
Fuzzy controller [12].
Case II: Step increase in demand of the first area ∆ PD1 , second area ∆ PD2 and third area ∆ PD3
is applied. This is the condition, for which perturbation is given in all the three areas. In this case,
a step increase in demand of the first area ∆ PD1 , the second area ∆ PD2 and third area ∆ PD3 is
applied. The frequency deviation of the first area Δf 1 , the frequency deviation of the second area
Δf2, the frequency deviation of the third area Δf 3 is shown in Fig -13,fig-14. The frequency
deviations and inter area tie-power quickly driven back to zero by employing proposed controller.
Type- 2 fuzzy controller has the best performance in control and damping of frequency and tiepower in all responses when compared with conventional PI and Type-1 Fuzzy controller[12].
The robust performance for the above cases is shown numerically at a particular operating
condition is listed in Table-2. In this study, settling time, overshoot and undershoot are calculated
for 10% band of the step load change in each area and in all three areas and simulation results
for 10% band of step load change for the operating point shown in Appendix. Upon examination
of Table-2, reveals that the performance of the proposed Type-2 Fuzzy controller is better than
conventional PI and Type-1 Fuzzy controller.
5.CONCLUSIONS
From the Table-2, the power system results are shown with the variation of 10% load. Under
Hydro-thermal-thermal combination, the proposed Type-2 Fuzzy control gives a better dynamic
performance and also reduces the oscillations of frequency deviation and the tie line power..
Simulation results proves that the proposed controller guarantees the robust stability performance
like frequency tracking and disturbance attenuation under a wide range of parameter uncertainty
and area load conditions. The results shows that under large parametric uncertainty, the proposed
type-2 fuzzy controller provided decentralized stability of the overall system. To demonstrate
performance robustness of proposed method, the Settling Time , Maximum Overshoot , and
17
6. International Journal of Fuzzy Logic Systems (IJFLS) Vol.4, No.1, January 2014
Undershoot are being considered.. It gave an appreciable performance as compared to
conventional PI controller and Type I Fuzzy controller for the given operating condition.
APPENDIX
The typical values of parameters of Hydro-thermal-thermal system for nominal operating
condition are as follows[13][5]
K p1 = K p2 = Kp3= 120 ,
Tg1 = Tg2 = 0.2 ,
T12 =T23=T31= 0.0707 ,
Tw = 1
f = 60 hz
Tp1 = Tp2 = Tp3= 10 , Kr1 = Kr2 = 0.333,
Tr1 = Tr2 =10
R1 = R2 = R3= 2.4,
B1 = B2 = B3= 0.425 , Tt1 = Tt2 = 0.3
a12 =a23=a31= -1
Kd = 4
Kp = 1
Ki = 5
Boiler Dynamics data:
K1= 0.85,
Kib= 0.03,
K2= 0.095,
Tib= 26,
K3= 0.92,
Trb= 69
Cb= 200,
Td= 0 ,
Tf= 10,
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[8] lndulkar C.S and Raj B,(1995) “Application of Fuzzy controller to automatic generation control,”
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controller,” Energy Conversion and Management, vol. 45, pp. 377-390.
19
8. International Journal of Fuzzy Logic Systems (IJFLS) Vol.4, No.1, January 2014
SMES 1
SMES 2
Reheat Thermal Plant
Area 2
Reheat Thermal Plant
Area 1
Tie line
Load Disturbance
Hydal Plant Area 3
Load Disturbance
SMES 3
Load Disturbance
Fig-1: Three - Area Interconnected Power System including SMES units
Fig- 2: Boiler dynamics
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9. International Journal of Fuzzy Logic Systems (IJFLS) Vol.4, No.1, January 2014
Fig-3:Block Diagram of Three Area Interconnected system
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10. International Journal of Fuzzy Logic Systems (IJFLS) Vol.4, No.1, January 2014
Fig- 4: Membership Function and Interval Type-2 Fuzzy Reasoning
Fuzzy Rule
Bases
output
U(n)
Defuzzification
inputs
E(n)
R(n)
Fuzzy
Inference
Fuzzification
Type-Reducer
Fig- 5:The structure of the T2 fuzzy PI controller
( ACE )
NL
N
NU
PL
P
PU
θ2+0.5
θ20.5
-L2-P2
- L2 -L2+P2
Universe of Discourse
L2-P2 L2
L2+P2
Fig- 6: Membership functions of the Interval T2 fuzzy sets
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11. International Journal of Fuzzy Logic Systems (IJFLS) Vol.4, No.1, January 2014
x 10
4
-4
3
conventional PI controller
Type-1 Fuzzy (Shayegi's)controller
Proposed Type-2 Fuzzy controller
2
1
delta f1
0
-1
-2
-3
-4
-5
-6
0
x 10
1
1
2
3
4
5
time,secs
6
7
8
9
10
-4
0.5
c o n ve n t io n a l P I c o n t ro lle r
Ty p e -1 F u z z y (S h a y e g i's )c o n t ro lle r
P ro p o s e d Ty p e -2 F u z z y c o n t ro lle r
d e lt a f 2
0
-0 . 5
-1
-1 . 5
-2
1 .5
0
x 10
1
2
3
4
5
t im e , s e c s
6
7
8
9
10
-4
C o n ve n t i o n a l P I c o n t r o l l e r
T y p e - 1 F u z z y ( S h a y e g i 's ) c o n t r o l l e r
P ro p o s e d T y p e -2 F u z z y c o n t ro lle r
1
0 .5
d e lt a f 3
0
-0 . 5
-1
-1 . 5
-2
-2 . 5
0
1
2
3
4
5
t im e , s e c s
6
7
8
9
10
Fig -7: ∆f1,∆f2,∆f3 with step increase in first area ∆PD1 with GRC,BD including SMES Units
23
12. International Journal of Fuzzy Logic Systems (IJFLS) Vol.4, No.1, January 2014
6
x 10
-5
4
C o n ve n t io n a l P I c o n t r o lle r
T y p e - 1 F u z z y ( S h a y e g i 's ) c o n t r o l l e r
P ro p o s e d T y p e -2 F u z z y c o n t ro lle r
d e lt a P t ie 1 2
2
0
-2
-4
-6
-8
2 .5
0
2
x 10
4
6
8
10
t im e , s e c s
12
14
16
18
20
-5
2
1 .5
C o n ve n t io n a l P I c o n t ro lle r
T y p e - 1 F u z z y ( S h a y e g i 's ) c o n t r o l l e r
P ro p o s e d T y p e -2 F u z z y c o n t ro lle r
d e lt a P t ie 2 3
1
0 .5
0
-0 . 5
-1
-1 . 5
-2
0
8
1
x 10
2
3
4
5
t im e , s e c s
6
7
8
9
10
-5
C o n ve n t io n a l P I c o n t ro lle r
T y p e - 1 F u z z y ( S h a y e g i 's ) c o n t r o l l e r
P ro p o s e d T y p e -2 F u z z y c o n t ro lle r
6
d e lt a P t ie 3 1
4
2
0
-2
-4
-6
-8
0
1
2
3
4
5
t im e , s e c s
6
7
8
9
10
Fig -8: ∆Ptie12, ∆Ptie23, ∆Ptie31with step increase in first area ∆PD1 with GRC, BD including SMES Units
24
13. International Journal of Fuzzy Logic Systems (IJFLS) Vol.4, No.1, January 2014
1
x 10
-4
0 .5
d e lt a f 1
0
C o n ve n t i o n a l P I c o n t r o l l e r
T y p e - 1 F u z z y ( S h a y e g i 's ) c o n t r o l l e r
P ro p o s e d T y p e -3 F u z z y c o n t ro lle r
-0 . 5
-1
-1 . 5
-2
4
0
1
x 10
2
3
4
5
t im e , s e c s
6
7
8
9
10
-4
C o n ve n t i o n a l P I c o n t r o l l e r
T y p e - 1 F u z z y ( S h a y e g i 's ) c o n t r o l l e r
P ro p o s e d T y p e -2 F u z z y c o n t ro lle r
3
2
1
d lt a f 2
0
-1
-2
-3
-4
-5
-6
1 .5
0
1
x 10
2
3
4
5
t im e , s e c s
6
7
8
9
10
-4
C o n ve n t io n a l P I c o n t ro lle r
T y p e - 1 F u z z y ( S h a y e g i 's ) c o n t r o l l e r
P ro p o s e d T y p e -2 F u z z y c o n t ro lle r
1
0 .5
d e lt a f 3
0
-0 .5
-1
-1 .5
-2
-2 .5
0
1
2
3
4
5
t im e , s e c s
6
7
8
9
10
Fig -9:∆f1,∆f2,∆f3 with step increase in second area ∆PD2 with GRC, BD including SMES Units
25
14. International Journal of Fuzzy Logic Systems (IJFLS) Vol.4, No.1, January 2014
8
x 10
-5
C o n ve n t io n a l P I c o n t r o lle r
T y p e - 1 F u z z y ( S h a y e g i 's ) c o n t r o l l e r
P ro p o s e d T y p e -2 F u z z y c o n t ro lle r
6
d e lt a P t ie 1 2
4
2
0
-2
-4
8
0
x 10
1
2
3
4
5
t im e , s e c s
6
7
8
9
10
-5
C o n ve n t io n a l P I c o n t ro lle r
T y p e - 1 F u z z y ( S h a y e g i 's ) c o n t r o l l e r
P ro p o s e d T y p e -2 F u z z y c o n t ro lle r
6
d e lt a P t ie 2 3
4
2
0
-2
-4
-6
-8
2
0
x 10
1
2
3
4
5
t im e , s e c s
6
7
8
9
10
-5
C o n ve n t i o n a l P I c o n t r o l l e r
T y p e - 1 F u z z y ( S h a y e g i 's ) c o n t r o l l e r
P ro p o s e d T y p e -2 F u z z y c o n t ro lle r
1 .5
1
d e lt a P t ie 3 1
0 .5
0
-0 . 5
-1
-1 . 5
-2
-2 . 5
0
1
2
3
4
5
t im e , s e c s
6
7
8
9
10
Fig -10: ∆Ptie12, ∆Ptie23, ∆Ptie31with step increase in second area ∆PD2 with GRC and SMES Units
26
15. International Journal of Fuzzy Logic Systems (IJFLS) Vol.4, No.1, January 2014
x 10
1 .5
-4
C o n ve n t i o n a l P I c o n t r o l l e r
T y p e - 1 F u z z y ( S h a y e g i 's ) c o n t r o l l e r
P ro p o s e d T y p e -2 F u z z y c o n t ro lle r
1
0 .5
d e lt a f 1
0
-0 . 5
-1
-1 . 5
-2
-2 . 5
-3
1 .5
0
x 10
1
2
3
4
5
t im e , s e c s
6
7
8
9
10
-4
C o n ve n t i o n a l P I c o n t r o l l e r
T y p e - 1 F u z z y ( S h a y e g i 's ) c o n t r o l l e r
P ro p o s e d T y p e -2 F u z z y c o n t ro lle r
1
0 .5
d e lt a f 2
0
-0 . 5
-1
-1 . 5
-2
-2 . 5
-3
4
0
x 10
1
2
3
4
5
t im e , s e c s
6
7
8
9
10
-4
C o n ve n t io n a l P I c o n t ro lle r
T y p e - 1 F u z z y ( S h a y e g i 's ) c o n t r o l l e r
P ro p o s e d T y p e -2 F u z z y c o n t ro lle r
2
d e lt a f 3
0
-2
-4
-6
-8
0
1
2
3
4
5
t im e , s e c s
6
7
8
9
10
Fig -11: ∆f1,∆f2,∆f3 with step increase in third area ∆PD3 with GRC, BD including SMES Units
27
16. International Journal of Fuzzy Logic Systems (IJFLS) Vol.4, No.1, January 2014
x 10
3
-6
C o n ve n t i o n a l P I c o n t r o l l e r
T y p e - 1 F u z z y ( S h a y e g i 's ) c o n t r o l l e r
P ro p o s e d T y p e -2 F u z z y c o n t ro lle r
2
d e lt a P t ie 1 2
1
0
-1
-2
-3
0
2
x 10
10
4
6
8
10
t im e , s e c s
12
14
16
18
20
-5
C o n ve n t i o n a l P I c o n t r o l l e r
T y p e - 1 F u z z y ( S h a y e g i 's ) c o n t r o l l e r
P rp o s e d T y p e -2 F u z z y c o n t ro lle r
8
6
d e lt a P t ie 2 3
4
2
0
-2
-4
-6
-8
0
8
1
x 10
2
3
4
5
t im e , s e c s
6
7
8
9
10
-5
6
C o n ve n t i o n a l P I c o n t r o l l e r
T y p e - 1 F u z z y ( S h a y e g i 's ) c o n t r o l l e r
P ro p o s e d T y p e -2 F u z z y c o n t ro lle r
4
d e lt a P t ie 3 1
2
0
-2
-4
-6
-8
-1 0
0
2
4
6
8
10
t im e , s e c s
12
14
16
18
20
Fig -12: ∆Ptie12, ∆Ptie23, ∆Ptie31with step increase in third area ∆PD3 with GRC, BD including SMES Units
28
17. International Journal of Fuzzy Logic Systems (IJFLS) Vol.4, No.1, January 2014
x 10
2
-4
C o n ve n t i o n a l P I c o n t r o l l e r
T y p e - 1 F u z z y ( S h a y e g i 's ) c o n t r o l l e r
P ro p o s e d T y p e -2 F u z z y a p p ro a c h
1
0
d e lt a f 1
-1
-2
-3
-4
-5
-6
0
1
x 10
2
2
3
4
5
t im e , s e c s
6
7
8
9
10
-4
C o n ve n t i o n a l P I c o n t r o l l e r
T y p e - 1 F u z z y ( S h a y e g i 's ) c o n t r o l l e r
P ro p o s e d T y p e -2 F u z z y c o n t ro lle r
1
0
d e lt a f 2
-1
-2
-3
-4
-5
-6
3
0
x 10
1
2
3
4
5
t im e , s e c s
6
7
8
9
10
-4
2
C o n ve n t i o n a l P I c o n t r o l l e r
T y p e - 1 F u z z y ( S h a y e g i 's ) c o n t r o l l e r
P ro p o s e d T y p e -2 F u z z y c o n t ro lle r
1
0
d e lt a f 3
-1
-2
-3
-4
-5
-6
-7
0
2
4
6
8
10
t im e , s e c s
12
14
16
18
20
Fig -13: ∆f1,∆f2,∆f3 with step increase in first area ∆PD1, second area ∆PD2 and third area ∆PD3 with GRC,
BD including SMES Units
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18. International Journal of Fuzzy Logic Systems (IJFLS) Vol.4, No.1, January 2014
x 10
3.5
-6
C o n ve n t io n a l P I c o n t ro lle r
Ty p e -1 F u z z y (S h a y e g i's )c o n t ro lle r
P ro p o s e d Ty p e -2 F u z z y c o n t ro lle r
3
2.5
2
d e lt a P t e 1 2
1.5
1
0.5
0
-0 . 5
-1
-1 . 5
0
x 10
6
2
4
6
8
10
tm e,s ec s
12
14
16
18
20
-5
C onventional P I c ontroller
Ty pe-1 F uz z y (S hay egi's )c ontroller
P ropos ed Ty pe-2 F uz z y c ontroller
5
4
delta P tie23
3
2
1
0
-1
-2
-3
0
3
x 10
2
4
6
8
10
tim e,s ec s
12
14
16
18
20
-5
2
1
delta P tie31
0
-1
Conventional P I c ontroller
Ty pe-1 F uz z y (S hay egi's )c ontroller
P ropos ed Ty pe-2 F uz z y c ontroller
-2
-3
-4
-5
-6
-7
0
2
4
6
8
10
tim e,s ec s
12
14
16
18
20
Fig -14: ∆Ptie12, ∆Ptie23, ∆Ptie31with step increase in demand of first area ∆PD1, second area ∆PD2 and third
area ∆PD3 with GRC, BD including SMES Units
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19. International Journal of Fuzzy Logic Systems (IJFLS) Vol.4, No.1, January 2014
∆ACE
N
P
N
P
N
N
Z
N
P
P
P
(∆ ACE )
Z
N
N
N
Table-1: Control rules forT1 and T2 Fuzzy controller
Case -I(a)
∆f1
∆f2
∆f3
∆Ptie12
∆Ptie23
∆Ptie31
Case -I(b)
∆f1
∆f2
∆f3
∆Ptie12
∆Ptie23
Conventional PI
Type-1 Fuzzy
Type-2 Fuzzy
Conventional PI
Type-1 Fuzzy
Type-2 Fuzzy
Conventional PI
Type-1 Fuzzy
Type-2 Fuzzy
Conventional PI
Type-1 Fuzzy
Type-2 Fuzzy
Conventional PI
Type-1 Fuzzy
Type-2 Fuzzy
Conventional PI
Type-1 Fuzzy
Type-2 Fuzzy
Conventional PI
Type-1 Fuzzy
Type-2 Fuzzy
Conventional PI
Type-1 Fuzzy
Type-2 Fuzzy
Conventional PI
Type-1 Fuzzy
Type-2 Fuzzy
Conventional PI
Type-1 Fuzzy
Type-2 Fuzzy
Conventional PI
Type-1 Fuzzy
Settling Time
secs
>10
10
5.2
>10
>10
6.1
>10
>10
8.8
>10
>10
5.9
>10
>10
6.39
>10
>10
8.6
>10
>10
8
>10
>10
5.3
>10
>10
8.9
>10
>10
5.6
>10
>10
Maximum
Overshoot
1.9x10-4
2.0x10-4
1.8x10-4
0.57x10-4
0.52x10-4
0.187x10-4
1.45x10-4
1.4x10-4
0.74x10-4
4.1x10-5
3.78x10-5
2.33x10-5
7.03x10-5
6.71x10-5
6.41x10-5
2.13x10-5
2.06x10-5
1.23x10-5
0.57x10-4
0.48x10-4
0.16x10-4
1.8x10-4
2.0x10-4
1.8x10-4
1.45x10-4
1.47x10-4
0.75x10-4
7.15x10-5
6.9x10-5
6.47x10-5
6.1x10-5
5.9x10-5
Undershoot
-1.7x10-4
-1.6x10-4
-0.9x10-4
-1.8x10-4
-1.7x10-4
-1.4x10-4
-2.4x10-4
-2.3x10-4
-1.7x10-4
-7.1x10-5
-6.7x10-5
-6.43x10-5
-6.18x10-5
-5.85x10-5
-3.5x10-5
-1.82x10-5
-1.78x10-5
-0.66x10-5
-1.8x10-4
-1.7x10-4
-1.3x10-4
-1.6x10-4
-1.6x10-4
-0.9x10-4
-2.46x10-4
-2.3x10-4
-1.7x10-4
-3.9x10-5
-3.6x10-5
-2.17x10-5
-7.04x10-5
-6.8x10-5
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21. International Journal of Fuzzy Logic Systems (IJFLS) Vol.4, No.1, January 2014
Authors
Dr. R.Vijaya Santhi received her B.Tech. degree in Electrical and Electronics
Engineering from S.V.H Engineering College, Machilipatnam, Nagarjuna University in
2003.She did her M.Tech in Power systems, from JNTU Kakinada in 2008. awarded her
Doctorate in Electrical Engineering in 2014 by Andhra University.Presently, she is
working as Assistant Professor in the Department of Electrical Engineering, Andhra
University, Visakhapatnam, India.
Dr.K.R.Sudha received her B.E. degree in Electrical and Electronics Engineering from
GITAM; Andhra University 1991.She did her M.E in Power Systems 1994. She was
awarded her Doctorate in Electrical Engineering in 2006 by Andhra University. During
1994-2006, she worked with GITAM Engineering College and presently she is working
as Professor and Head in the Department of Electrical Engineering, AUCE(W), Andhra
University, Visakhapatnam, India.
33